What is 52/89 Divided By 8/6

Solving $\frac{52}{89}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{89} \div \frac{8}{6} = \frac{52}{89} \times \frac{6}{8}$

• Multiply the Numerators: $52 \times 6 = 312$
• Multiply the Denominators: $89 \times 8 = 712$
• Form the New Fraction: $\frac{52}{89} \times \frac{8}{6} = \frac{312}{712}$

Let's Simplify $\frac{312}{712}$

• Find the Greatest Common Divisor (GCD) of $312$ and $712$. The GCD of $312$ and $712$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{312 \div 8}{712 \div 8} = \frac{39}{89}$

Answer $\frac{52}{89}\div\frac{8}{6} = \frac{39}{89}$

The following animation demonstrates the divide-by,